One goal of inquiry-oriented instruction is student engagement with others' mathematical ideas. This paper analyzes a relatively short episode in which students engaged with others' ideas; the instructor facilitated engagement in order to support students in making mathematical progress. Students expressed some bafflement pertaining to the…

"Melioration" is borrowing and using an idea from another field not closely associated with your field of expertise. Using the borrowed concept to address a challenge in your field potentially provides new avenues of action and insight. I borrow the concept of boundary objects from science fields and use it to examine assignments in the college…